Type II chiral affine Lie algebras and string actions in doubled space

TL;DR

This paper introduces a framework for affine Lie algebras in doubled space that makes chirality and T-duality manifest, and constructs gauge-invariant superstring actions with chiral doubled coordinates.

Contribution

It develops a new algebraic structure for supercovariant derivatives and supersymmetry generators in doubled space, enabling manifest chirality and T-duality in string actions.

Findings

Constructed affine Lie algebras with supercovariant derivatives and supersymmetry generators.

Developed gauge-invariant bosonic and superstring actions with chiral doubled coordinates.

Demonstrated how to recover usual space via dimensional reduction constraints.

Abstract

We present affine Lie algebras generated by the supercovariant derivatives and the supersymmetry generators for the left and right moving modes in the doubled space. Chirality is manifest in our doubled space as well as the T-duality symmetry. We present gauge invariant bosonic and superstring actions preserving the two-dimensional diffeomorphism invariance and the kappa-symmetry where doubled spacetime coordinates are chiral fields. The doubled space becomes the usual space by dimensional reduction constraints.